a store owner buys coats for %56 each. she adds 30% to the cost and sells the coats at 15% off. find the selling price of each coat.

56 * 1.30 * 0.85 = _____

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To find the selling price of each coat, we follow these steps:

1. Determine the cost price of the coat.

The store owner buys the coats for 56% (or 0.56) of their selling price. So, let's assume the cost price of each coat is C.

Cost Price = 56% of Selling Price = 0.56 * Selling Price
= 0.56 * C

2. Calculate the selling price after adding 30%.

To find the new selling price, we need to add 30% to the cost price.

New Selling Price = Cost Price + (30% of Cost Price)
= C + 0.30 * C
= 1.30 * C

3. Determine the selling price after applying a 15% discount.

To find the selling price after the 15% discount, we need to subtract 15% from the new selling price.

Selling Price after Discount = New Selling Price - (15% of New Selling Price)
= 1.30 * C - (0.15 * 1.30 * C)
= 1.30 * C - 0.195 * C
= (1.30 - 0.195) * C
= 1.105 * C

So, the selling price of each coat is 1.105 times the cost price (C).